# How do you find abs( 5-3i )?

Apr 13, 2018

See explanation.

#### Explanation:

The module of a complex number can be calculated as:

## $| a + b i | = \sqrt{{a}^{2} + {b}^{2}}$

Here we have:

$| 5 - 3 i | = \sqrt{{5}^{2} + {\left(- 3\right)}^{2}} = \sqrt{25 + 9} = \sqrt{34}$